1. Promote vertical housing to minimize land usage.
2. Encourage use of recycled materials for eco-friendly construction.
3. Implement urban greening projects alongside housing initiatives.
4. Advocate community-sharing programs to utilize underused houses.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD. 